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Finding the Third Proportional to 32,708 and 69,772

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Solution

The third proportional to 32,708 and 69,772 is: 148,836.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,708 : 69,772 = 69,772 : x
  2. Step 2: Convert to fraction form
    32,708/69,772 = 69,772/x
  3. Step 3: Cross multiply
    32,708x = 69,772 × 69,772
  4. Step 4: Simplify right side
    32,708x = 4,868,131,984
  5. Step 5: Solve for x
    x = 4,868,131,984/32,708
  6. Step 6: Final answer
    x = 148,836.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.